Natural Pitch and Roll

ABSTRACT

A control system may receive a first plurality of measurements indicative of respective joint angles corresponding to a plurality of sensors connected to a robot. The robot may include a body and a plurality of jointed limbs connected to the body associated with respective properties. The control system may also receive a body orientation measurement indicative of an orientation of the body of the robot. The control system may further determine a relationship between the first plurality of measurements and the body orientation measurement based on the properties associated with the jointed limbs of the robot. Additionally, the control system may estimate an aggregate orientation of the robot based on the first plurality of measurements, the body orientation measurement, and the determined relationship. Further, the control system may provide instructions to control at least one jointed limb of the robot based on the estimated aggregate orientation of the robot.

CROSS-REFERENCE TO RELATED APPLICATIONS

This application claims priority to U.S. Provisional Patent ApplicationSer. No. 62/041,281 filed Aug. 25, 2014, the contents of which areincorporated herein by reference.

BACKGROUND

As technology advances, various types of robotic devices are beingcreated for performing a variety of functions that may assist users.Robotic devices may be used for applications involving materialhandling, transportation, welding, assembly, and dispensing, amongothers. Over time, the manner in which these robotic systems operate isbecoming more intelligent, efficient, and intuitive. As robotic systemsbecome increasingly prevalent in numerous aspects of modern life, it isdesirable for robotic systems to be efficient. Therefore, a demand forefficient robotic systems has helped open up a field of innovation inactuators, movement, sensing techniques, as well as component design andassembly.

SUMMARY

The present application discloses implementations that relate tocontrolling a position of a leg of a robotic device to balance therobotic device. An example implementation may include receiving, by arobot, a first plurality of measurements indicative of respective jointangles corresponding to a plurality of sensors connected to the robot.The robot may include a body and a plurality of jointed limbs connectedto the body. The jointed limbs may be associated with respectiveproperties. The implementation may also include receiving a bodyorientation measurement indicative of an orientation of the body of therobot. The implementation may further include determining a relationshipbetween the first plurality of measurements and the body orientationmeasurement based on the properties associated with the jointed limbs ofthe robot. Additionally, the implementation may include estimating anaggregate orientation of the robot based on the first plurality ofmeasurements, the body orientation measurement, and the determinedrelationship. Further, the implementation may include providinginstructions to control at least one jointed limb of the robot based onthe estimated aggregate orientation of the robot.

In another example implementation, the present application describes arobot that may include a body, a plurality of jointed limbs connected tothe body, a first plurality of sensors, a second sensor, a processingsystem, and a control system. The jointed limbs may be associated withrespective properties. The first plurality of sensors may be configuredto provide a first plurality of measurements indicative of respectivejoint angles of the jointed limbs. The second sensor may be configuredto provide a body orientation measurement indicative of an orientationof the body of the robot. The second sensor may be coupled to the body.The processing system may be configured to determine a relationshipbetween the first plurality of measurements and the body orientationmeasurement based on the properties associated with the jointed limbs.The processing system may also be configured to estimate an aggregateorientation of the robot based on the first plurality of measurements,the body orientation measurement, and the determined relationship. Thecontrol system may be configured to provide instructions to control atleast one jointed limb of the robot based on the estimated aggregateorientation of the robot

In yet another example implementation, the present application describesa non-transitory computer-readable medium having stored thereoninstructions that, upon execution by at least one processor, causes arobot to perform a set of operations. The operations may includereceiving a first plurality of measurements indicative of respectivejoint angles corresponding to a plurality of sensors connected to arobot. The robot may include a body and a plurality of jointed limbsconnected to the body. The jointed limbs may be associated withrespective properties. The operations may also include receiving a bodyorientation measurement indicative of an orientation of a portion of therobot, wherein the portion of the robot corresponds to a particularframe of reference. The operations may further include determining arelationship between the first plurality of measurements and the bodyorientation measurement based on the properties associated with thejointed limbs of the robot. Additionally, the operations may includeestimating an aggregate orientation of the robot based on the firstplurality of measurements, the body orientation measurement, and thedetermined relationship. Further, the operations may include providinginstructions to control at least one jointed limb of the robot based onthe estimated aggregate orientation of the robot.

In yet still another implementation, the present application describes asystem. The system may include a means for receiving, by a robot, afirst plurality of measurements indicative of respective joint anglescorresponding to a plurality of sensors connected to the robot. Therobot may include a body and a plurality of jointed limbs connected tothe body. The jointed limbs may be associated with respectiveproperties. The system may also include a means for receiving a bodyorientation measurement indicative of an orientation of the body of therobot. The system may further include a means for determining arelationship between the first plurality of measurements and the bodyorientation measurement based on the properties associated with thejointed limbs of the robot. Additionally, the system may include a meansfor estimating an aggregate orientation of the robot based on the firstplurality of measurements, the body orientation measurement, and thedetermined relationship. Further, the system may include a means forproviding instructions to control at least one jointed limb of the robotbased on the estimated aggregate orientation of the robot.

These as well as other aspects, advantages, and alternatives, willbecome apparent to those of ordinary skill in the art by reading thefollowing detailed description, with reference where appropriate to theaccompanying figures.

BRIEF DESCRIPTION OF THE FIGURES

FIG. 1 illustrates a configuration of a robotic system, according to anexample implementation.

FIG. 2 illustrates a perspective view a quadruped robot, according to anexample implementation.

FIG. 3 illustrates a perspective view a quadruped robot, according to anexample implementation.

FIG. 4 illustrates a perspective view a biped robot, according to anexample implementation.

FIG. 5A illustrates a stance of a biped robot, according to an exampleimplementation.

FIG. 5B illustrates a simplified representation of a biped robot,according to an example implementation.

FIG. 5C illustrates a stance of a biped robot, according to an exampleimplementation.

FIG. 5D illustrates a simplified representation of a biped robot,according to an example implementation.

FIG. 6 is a flowchart, according to an example implementation.

FIG. 7 is a computer-readable medium configured according to an exampleimplementation.

DETAILED DESCRIPTION

The following detailed description describes various features andfunctions of the disclosed systems and methods with reference to theaccompanying figures. The illustrative system and method implementationsdescribed herein are not meant to be limiting. It may be readilyunderstood that certain aspects of the disclosed systems and methods canbe arranged and combined in a wide variety of different configurations,all of which are contemplated herein.

I. OVERVIEW

An example implementation involves a robotic device configured with atleast one robotic limb, sensors, and a processing system. The roboticlimb may be an articulated robotic appendage including a number ofmembers connected by joints. The robotic limb may also include a numberof actuators (e.g. 2-5 actuators) coupled to the members of the limbthat facilitate movement of the robotic limb through a range of motionlimited by the joints connecting the members. The sensors may beconfigured to measure properties of the robotic device, such as anglesof the joints, pressures within the actuators, and/or the position,velocity, and acceleration of members of the robotic limb at a givenpoint in time. The sensors may also be configured to measure anorientation (i.e. the body orientation measurement) of the body of therobotic device (which may also be referred to herein as the “base” ofthe robotic device). Other example properties include the masses ofvarious components of the robotic device, the location of the center ofmass of the robotic device or of various components of the roboticdevice, the moment of inertia of the robotic device or of components ofthe robotic device, among other properties. The processing system of therobotic device may determine the angles of the joints of the roboticlimb either directly from angle sensor information or indirectly fromother sensor information from which the joint angles can be calculated.The processing system may then estimate an orientation of the roboticdevice based on the sensed orientation of the base of the robotic deviceand the joint angles.

An orientation may herein refer to an angular position of an object. Insome instances, an orientation may refer to an amount of rotation (indegrees or radians) about three axes. In some cases, an orientation of arobotic device may refer to the orientation of the robotic device withrespect to a particular reference frame, such as the ground or a surfaceon which it stands. An orientation may describe the angular positionusing Euler angles or Tait-Bryan angles (also known as yaw, pitch, androll angles). In some instances, such as on a computer-readable medium,the orientation may be represented by an orientation matrix or by anorientation quaternion, among other representations.

In some scenarios, measurements from sensors on the base of the roboticdevice may indicate that the robotic device is oriented in such a wayand/or has an angular velocity that requires control of one or more ofthe articulated appendages in order to maintain balance of the roboticdevice. In these scenarios, however, it may be the case that the limbsof the robotic device are oriented and/or moving such that balancecontrol is not required. For example, the body of the robotic device maybe tilted to the left, and sensors measuring the body's orientation maythus indicate a need to move limbs to balance the robotic device;however, one or more limbs of the robotic device may be extended to theright, causing the robotic device to be balanced despite the sensors onthe base of the robotic device indicating otherwise. The limbs of arobotic device may apply a torque on the body of the robotic device andmay also affect the robotic device's center of mass. Thus, orientationand angular velocity measurements of one portion of the robotic devicemay be an inaccurate representation of the orientation and angularvelocity of the combination of the robotic device's body and limbs(which may be referred to herein as the “aggregate” orientation andangular velocity).

In some implementations, the processing system may be configured toestimate the aggregate orientation and/or angular velocity of the entirerobotic device based on the sensed orientation of the base of therobotic device and the measured joint angles. The processing system havestored thereon a relationship between the joint angles of the roboticdevice and the extent to which the joint angles of the robotic deviceaffect the orientation and/or angular velocity of the base of therobotic device. The relationship between the joint angles of the roboticdevice and the motion of the base of the robotic device may bedetermined based on the kinematics and mass properties of the limbs ofthe robotic devices. In other words, the relationship may specify theeffects that the joint angles have on the aggregate orientation and/orangular velocity of the robotic device. Additionally, the processingsystem may be configured to determine components of the orientationand/or angular velocity of the robotic device caused by internal motionand components of the orientation and/or angular velocity of the roboticdevice caused by external motion. Further, the processing system maydifferentiate components of the aggregate orientation in order todetermine the robotic device's aggregate yaw rate, pitch rate, and rollrate (which may be collectively referred to as the “aggregate angularvelocity”).

In some implementations, the robotic device may also include a controlsystem that is configured to control the robotic device on the basis ofa simplified model of the robotic device. The control system may beconfigured to receive the estimated aggregate orientation and/or angularvelocity of the robotic device, and subsequently control one or morejointed limbs of the robotic device to behave in a certain manner (e.g.maintain the balance of the robotic device). For instance, the controlsystem may determine locations at which to place the robotic device'sfeet and/or the force to exert by the robotic device's feet on a surfacebased on the aggregate orientation.

In some implementations, the robotic device may include force sensorsthat measure or estimate the external forces (e.g. the force applied bya leg of the robotic device against the ground) along with kinematicsensors to measure the orientation of the limbs of the robotic device.The processing system may be configured to determine the roboticdevice's angular momentum based on information measured by the sensors.The control system may be configured with a feedback-based stateobserver that receives the measured angular momentum and the aggregateangular velocity, and provides a reduced-noise estimate of the angularmomentum of the robotic device. The state observer may also receivemeasurements and/or estimates of torques or forces acting on the roboticdevice and use them, among other information, as a basis to determinethe reduced-noise estimate of the angular momentum of the roboticdevice. In some instances, the measured angular momentum includes noisehaving a first average amplitude (e.g. −80 decibels to −20 decibels),and the reduced-noise estimate of the angular momentum includes noisehaving a second average amplitude (e.g. −70 decibels to −10 decibels).In some cases, the second average amplitude of the noise is less thanthe first average amplitude of the noise, such that the state observeracts to reduce the average amplitude of the noise.

The control system may be configured to actuate one or more actuatorsconnected across components of a robotic leg. The actuators may becontrolled to raise or lower the robotic leg. In some cases, a roboticleg may include actuators to control the robotic leg's motion in threedimensions. Depending on the particular implementation, the controlsystem may be configured to use the aggregate orientation, along withother sensor measurements, as a basis to control the robot in a certainmanner (e.g. stationary balancing, walking, running, galloping, etc.).

In some implementations, multiple relationships between the joint anglesand their effect on the orientation and/or angular velocity of the baseof the robotic device may be stored on the processing system. Theprocessing system may select a particular relationship with which todetermine the aggregate orientation and/or angular velocity based on thejoint angles. For example, one relationship may be associated with aparticular joint being between 0 and 90 degrees, and anotherrelationship may be associated with the particular joint being between91 and 180 degrees. The selected relationship may more accuratelyestimate the aggregate orientation of the robotic device than the otherrelationships.

In some implementations, the processing system may have stored thereonmore than one relationship between the joint angles of the roboticdevice and the extent to which the joint angles of the robotic deviceaffect the orientation and/or angular velocity of the base of therobotic device. Each relationship may correspond to one or more rangesof joint angle values (i.e. operating ranges).

In some implementations, the robotic device may operate in one or moremodes. A mode of operation may correspond to one or more of the jointangles being within a corresponding set of operating ranges. In theseimplementations, each mode of operation may correspond to a certainrelationship.

The angular velocity of the robotic device may have multiple componentsdescribing the robotic device's orientation (i.e. rotational angles)along multiple planes. From the perspective of the robotic device, arotational angle of the robotic device turned to the left or the rightmay be referred to herein as “yaw.” A rotational angle of the roboticdevice upwards or downwards may be referred to herein as “pitch.” Arotational angle of the robotic device tilted to the left or the rightmay be referred to herein as “roll.” Additionally, the rate of change ofthe yaw, pitch, and roll may be referred to herein as the “yaw rate,”the “pitch rate,” and the “roll rate,” respectively.

II. EXAMPLE ROBOTIC SYSTEMS

Referring now to the figures, FIG. 1 illustrates an exampleconfiguration of a robotic device, according to an exampleimplementation. The robotic system 100 represents an example roboticdevice configured to perform the operations described herein.Additionally, the robotic device 100 may be configured to operateautonomously, semi-autonomously, and/or using directions provided byuser(s), and may exist in various forms, such as a humanoid robot or aquadruped robot, among other examples. Furthermore, the robotic device100 may also be referred to as a robotic device, mobile robot, or robot,among other designations.

As shown in FIG. 1, the robotic device 100 includes processor(s) 102,data storage 104, program instructions 106, controller 108, sensor(s)110, power source(s) 112, mechanical components 114, and electricalcomponents 116. Note that the robotic device 100 is shown forillustration purposes and may include more or less components withoutdeparting from the scope of the disclosure herein. The variouscomponents of robotic device 100 may be connected in any manner,including wired or wireless connections, etc. Further, in some examples,components of the robotic device 100 may be positioned on multipledistinct physical entities rather on a single physical entity. Otherexample illustrations of robotic device 100 may exist as well.

Processor(s) 102 may operate as one or more general-purpose processor orspecial purpose processors (e.g., digital signal processors, applicationspecific integrated circuits, etc.). The processor(s) 102 can beconfigured to execute computer-readable program instructions 106 thatare stored in the data storage 104 and are executable to provide theoperations of the robotic device 100 described herein. For instance, theprogram instructions 106 may be executable to provide operations ofcontroller 108, where the controller 108 may be configured to causeactivation and deactivation of the mechanical components 114 and theelectrical components 116. The processor(s) 102 may operate and enablethe robotic device 100 to perform various functions, including thefunctions described herein.

The data storage 104 may exist as various types of storage media, suchas a memory. For example, the data storage 104 may include or take theform of one or more computer-readable storage media that can be read oraccessed by processor(s) 102. The one or more computer-readable storagemedia can include volatile and/or non-volatile storage components, suchas optical, magnetic, organic or other memory or disc storage, which canbe integrated in whole or in part with processor(s) 102. In someimplementations, the data storage 104 can be implemented using a singlephysical device (e.g., one optical, magnetic, organic or other memory ordisc storage unit), while in other implementations, the data storage 104can be implemented using two or more physical devices, which maycommunicate via wired or wireless communication. Further, in addition tothe computer-readable program instructions 106, the data storage 104 mayinclude additional data such as diagnostic data, among otherpossibilities.

The robotic device 100 may include at least one controller 108, whichmay interface with the robotic device 100. The controller 108 may serveas a link between portions of the robotic device 100, such as a linkbetween mechanical components 114 and/or electrical components 116. Insome instances, the controller 108 may serve as an interface between therobotic device 100 and another computing device. Further, the controller108 may serve as an interface between the robotic system 100 and auser(s). The controller 108 may include various components forcommunicating with the robotic device 100, including a joystick(s),buttons, among others. The controller 108 may perform other operationsfor the robotic device 100 as well. Other examples of controllers mayexist as well.

Additionally, the robotic device 100 includes one or more sensor(s) 110such as force sensors, proximity sensors, motion sensors, load sensors,position sensors, touch sensor, depth sensors, ultrasonic range sensors,and infrared sensors, among other possibilities. The sensor(s) 110 mayprovide sensor data to the processor(s) 102 to allow for appropriateinteraction of the robotic system 100 with the environment as well asmonitoring of operation of the systems of the robotic device 100. Thesensor data may be used in evaluation of various factors for activationand deactivation of mechanical components 114 and electrical components116 by controller 108 and/or a computing system of the robotic device100.

The sensor(s) 110 may provide information indicative of the environmentof the robotic device for the controller 108 and/or computing system touse to determine operations for the robotic device 100. For example, thesensor(s) 110 may capture data corresponding to the terrain of theenvironment or location of nearby objects, which may assist withenvironment recognition and navigation, etc. In an exampleconfiguration, the robotic device 100 may include a sensor system thatmay include a camera, RADAR, LIDAR, a global positioning system (GPS)transceiver, and/or other sensors for capturing information of theenvironment of the robotic device 100. The sensor(s) 110 may monitor theenvironment in real-time and detect obstacles, elements of the terrain,weather conditions, temperature, and/or other parameters of theenvironment for the robotic device 100.

Further, the robotic device 100 may include other sensor(s) 110configured to receive information indicative of the state of the roboticdevice 100, including sensor(s) 110 that may monitor the state of thevarious components of the robotic device 100. The sensor(s) 110 maymeasure activity of systems of the robotic device 100 and receiveinformation based on the operation of the various features of therobotic device 100, such the operation of extendable legs, arms, orother mechanical and/or electrical features of the robotic device 100.The sensor data provided by the sensors may enable the computing systemof the robotic device 100 to determine errors in operation as well asmonitor overall functioning of components of the robotic device 100.

For example, the computing system may use sensor data to determine thestability of the robotic device 100 during operations as well asmeasurements related to power levels, communication activities,components that require repair, among other information. As an exampleconfiguration, the robotic device 100 may include gyroscope(s),accelerometer(s), and/or other possible sensors to provide sensor datarelating to the state of operation of the robotic device. Further,sensor(s) 110 may also monitor the current state of a function, such asa gait, that the robotic system 100 may currently be operating.Additionally, the sensor(s) 110 may measure a distance between a givenrobotic leg of a robotic device and a center of mass of the roboticdevice. Other example uses for the sensor(s) 110 may exist as well.

Additionally, the robotic device 100 may also include one or more powersource(s) 112 configured to supply power to various components of therobotic device 100. Among possible power systems, the robotic device 100may include a hydraulic system, electrical system, batteries, and/orother types of power systems. As an example illustration, the roboticdevice 100 may include one or more batteries configured to provide powerto components via a wired and/or wireless connection. Within examples,components of the mechanical components 114 and electrical components116 may each connect to a different power source or may be powered bythe same power source. Components of the robotic system 100 may connectto multiple power sources as well.

Within example configurations, any type of power source may be used topower the robotic device 100, such as a gasoline engine. Further, thepower source(s) 112 may charge using various types of charging, such aswired connections to an outside power source, wireless charging,combustion, or other examples. Other configurations may also bepossible. Additionally, the robotic device 100 may include a hydraulicsystem configured to provide power to the mechanical components 114using fluid power. Components of the robotic device 100 may operatebased on hydraulic fluid being transmitted throughout the hydraulicsystem to various hydraulic motors and hydraulic cylinders, for example.The hydraulic system of the robotic device 100 may transfer a largeamount of power through small tubes, flexible hoses, or other linksbetween components of the robotic device 100. Other power sources may beincluded within the robotic device 100.

Mechanical components 114 represent hardware of the robotic system 100that may enable the robotic device 100 to operate and perform physicalfunctions. As a few examples, the robotic device 100 may includeactuator(s), extendable leg(s) (“legs”), arm(s), wheel(s), one ormultiple structured bodies for housing the computing system or othercomponents, and/or other mechanical components. The mechanicalcomponents 114 may depend on the design of the robotic device 100 andmay also be based on the functions and/or tasks the robotic device 100may be configured to perform. As such, depending on the operation andfunctions of the robotic device 100, different mechanical components 114may be available for the robotic device 100 to utilize. In someexamples, the robotic device 100 may be configured to add and/or removemechanical components 114, which may involve assistance from a userand/or other robotic device. For example, the robotic device 100 may beinitially configured with four legs, but may altered by a user or therobotic device 100 to remove two of the four legs to operate as a biped.Other examples of mechanical components 114 may be included.

The electrical components 116 may include various components capable ofprocessing, transferring, providing electrical charge or electricsignals, for example. Among possible examples, the electrical components116 may include electrical wires, circuitry, and/or wirelesscommunication transmitters and receivers to enable operations of therobotic device 100. The electrical components 116 may interwork with themechanical components 114 to enable the robotic device 100 to performvarious operations. The electrical components 116 may be configured toprovide power from the power source(s) 112 to the various mechanicalcomponents 114, for example. Further, the robotic device 100 may includeelectric motors. Other examples of electrical components 116 may existas well.

In some implementations, the robotic device 100 may also includecommunication link(s) 118 configured to send and/or receive information.The communication link(s) 118 may transmit data indicating the state ofthe various components of the robotic device 100. For example,information read in by sensor(s) 110 may be transmitted via thecommunication link(s) 118 to a separate device. Other diagnosticinformation indicating the integrity or health of the power source(s)112, mechanical components 114, electrical components 118, processor(s)102, data storage 104, and/or controller 108 may be transmitted via thecommunication link(s) 118 to an external communication device.

In some implementations, the robotic device 100 may receive informationat the communication link(s) 118 that is processed by the processor(s)102. The received information may indicate data that is accessible bythe processor(s) 102 during execution of the program instructions 106,for example. Further, the received information may change aspects of thecontroller 108 that may affect the behavior of the mechanical components114 or the electrical components 116. In some cases, the receivedinformation indicates a query requesting a particular piece ofinformation (e.g. the operational state of one or more of the componentsof the robotic device 100), and the processor(s) 102 may subsequentlytransmit that particular piece of information back out the communicationlink(s) 118.

In some cases, the communication link(s) 118 include a wired connection.The robotic device 100 may include one or more ports to interface thecommunication link(s) 118 to an external device. The communicationlink(s) 118 may include, in addition to or alternatively to the wiredconnection, a wireless connection. Some example wireless connections mayutilize a cellular connection, such as CDMA, EVDO, GSM/GPRS, or 4Gtelecommunication, such as WiMAX or LTE. Alternatively or in addition,the wireless connection may utilize a Wi-Fi connection to transmit datato a wireless local area network (WLAN). In some implementations, thewireless connection may also communicate over an infrared link,Bluetooth, or a near-field communication (NFC) device.

FIG. 2 illustrates a perspective view of an example quadruped robot,according to an example implementation. Among other possible functions,the robotic device 200 may be configured to perform the proceduresdescribed herein during operation. The robotic device 200 includes legs204A, 204B, 204C, and 204D connected to a body 208 of the robotic device200 and may also include sensors configured to provide sensor data to acomputing system of the robotic device 200. Each leg 204A, 204B, 204C,and 204D may include feet 206A, 206B, 206C, and 206D, respectively.Sensors may be incorporated within portions of the legs 204A, 204B,204C, and 204D to detect pressure, position, velocity, acceleration, andorientation, among other measurements. Further, the robotic device 200is illustrated carrying objects 212 on the body 208. Within otherexample implementations, the robotic device 200 may include more orfewer components and may additionally include components not shown inFIG. 2.

The robotic device 200 may be a physical representation of the roboticsystem 100 shown in FIG. 1 or may be based on other configurations. Tooperate, the robotic device 200 includes a computing system that be madeup of one or multiple computing devices configured to assist in variousoperations of the robotic device 200. These operations may includeprocessing data and providing outputs based on the data to cause variouschanges to the physical state of the robotic device 200. The computingsystem may process information provided by various systems of therobotic device 200 (e.g., a sensor system) or from other sources (e.g.,a user, another robotic device, a server) and may provide instructionsto these systems to operate in response.

Additionally, the computing system may monitor systems of the roboticdevice 200 during operation, which may include monitoring for errorsand/or monitoring regular operation, for example. In some exampleconfigurations, the computing system may serve as a connection betweenthe various systems of the robotic device 200, and may coordinate theoperations of the systems together to enable the robotic device 200 toperform operations. Further, the computing system may include multipledevices, processors, controllers, and/or other entities configured tocontrol or assist in the operation of the robotic device. Additionally,the computing system may operate using various types of memory and/orother components.

The robotic device 200 exists as a quadruped robotic device with fourextendable legs 204A, 204B, 204C, and 204D. Although the robotic device200 includes four legs 204A, 204B, 204C, and 204D in the illustrationshown in FIG. 2, the robotic device 200 may include more or less legswithin other examples. Further, the configuration, position, and/orstructure of the legs 204A, 204B, 204C, and 204D may vary in exampleimplementations. The legs 204A, 204B, 204C, and 204D enable the roboticdevice 200 to move and may be configured to operate in multiple degreesof freedom to enable different techniques of travel to be performed. Inparticular, the legs 204A, 204B, 204C, and 204D may enable the roboticdevice 200 to travel at various speeds through mechanically controllingthe legs 204A, 204B, 204C, and 204D.

Each robotic leg 204A, 204B, 204C, and 204D may include joints, such atjoint 214, and actuators. The joints allow members of a robotic leg tomove through a range of angular degrees in a number of degrees offreedom. During operation, an actuator may be extended or compressed inorder facilitate moving a robotic leg to various positions. Certainjoints may have limited ranges of motion (e.g. −120 degrees to 120degrees). Some combinations of joints and members may allow a roboticleg to move its lateral position, longitudinal position, and/or verticalposition.

A gait is a pattern of movement of the limbs of animal, robotic device,or other mechanical structure. As such, the robotic device 200 maynavigate by operating the legs 204A, 204B, 204C, and 204D to performvarious gaits. The robotic device 200 may use a variety gaits to travelwithin an environment, which may involve selecting a gait based onspeed, terrain, the need to maneuver, and/or energy efficiency. Therobotic device 200 may be configured to dynamically switch betweengaits, which may enable the robotic device to change speeds or themechanics of operating the legs 204A, 204B, 204C, and 204D.

Further, different types of robotic devices may use different gaits dueto differences in design (e.g. the number of legs of the robotic device)that may prevent use of certain gaits. Although some gaits may havespecific names (e.g., walk, trot, run, gallop, and bound), thedistinctions between these gaits may be slight. The gaits may beclassified based on footfall patterns, the patterns including locationson a surface for the placement of distal ends of the extendable legs(e.g., feet). Similarly, gaits may also be classified based onmechanics.

Additionally, the robotic device 200 may include other mechanicalapertures or appendages, which may be attached to the robotic device 200at various positions. The robotic device 200 may include mechanicalarms, grippers, wheels, or other features. The legs 204A, 204B, 204C,and 204D may have feet or other types of mechanical features (e.g.rubber feet to increase friction between the robotic device and asurface) that enables control upon various types of surfaces that therobotic device may encounter.

As part of the design of the example robotic device 200, the body 208 ofthe robotic device 200 connects to the legs 204A, 204B, 204C, and 204Dand may house various components of the robotic device 200. As such, thestructure of the body 208 may vary within examples and may furtherdepend on particular operations that a given robotic device may havebeen designed to perform. For example, a robotic device developed tocarry heavy loads may have a wide body that enables placement of theloads. Similarly, a robotic device designed to reach high speeds mayhave a narrow, small body that does not have substantial weight.Further, the body 208 as well as the legs 204A, 204B, 204C, and 204D maybe developed using various types of materials, such as various metals orplastics. Within other examples, a robotic device may have a body with adifferent structure or made of other types of materials.

The sensor(s) 210 of the robotic device 200 may include various types ofsensors. The sensor(s) 210 may be placed at various positions on therobotic device. As described for the robotic system 100, the roboticdevice 200 may include a sensory system that includes a camera, RADAR,LIDAR, a GPS transceiver, accelerometer(s), gyroscope(s), and/or othertypes of sensors. The sensor(s) may be configured to measure parametersof the environment of the robotic device 200 as well as monitor internaloperations of systems of the robotic device 200. In some examples, therobotic device 200 may include sensors to measure the orientation,position, velocity, or acceleration of each leg 204A, 204B, 204C, and204D.

In some implementations, sensor(s) 210 may be coupled to portions of therobotic legs 204A, 204B, 204C, and 204D. For instance, sensors may beconfigured to measure the angles of the joints of the robotic legs 204A,204B, 204C, and 204D. In some implementations, the information or dataoutput by the sensors may be provided to the control system 202. In someinstances, inertial measurement units (IMUs) may be mounted to sectionsof the robotic legs 204A, 204B, 204C, and 204D in order to determine theorientation of each member the robotic legs 204A, 204B, 204C, and 204D.In addition, sensors, such as pressure transducers, may be coupled tothe actuators of the robotic legs 204A, 204B, 204C, and 204D to measurethe pressure inside the actuators and/or to measure the length that theactuator is extended or compressed. Other sensors may be included inaddition to the previously mentioned sensors in order to measure aspectsof the robotic device 200 from which angles of the joints of the roboticlegs 204A, 204B, 204C, and 204D can be calculated.

In some implementations, the actuators of the robotic legs 204A, 204B,204C, and 204D may be controlled to apply varying amounts of force. Insome scenarios, a control system may control a particular robotic leg toapply a greater or lesser extent of force. Additionally, an amount offorce being applied by a given robotic leg may be measured using sensorscoupled to the robotic leg, such as a force sensor or a load cell.

The loads 212 carried by the robotic device 200 may represent varioustypes of cargo that the robotic device 200 may transport. The loads 212may also represent external batteries or other types of power sources(e.g., solar panels) that the robotic device 200 may utilize. The loads212 represent an example use the robotic device 200 may be configuredfor. As such, the robotic device 200 may be configured to perform otheroperations as well.

Additionally, as shown with the robotic system 100, the robotic device200 may also include various electrical components that may enableoperation and communication between the mechanical features of therobotic device 200. As previously indicated, the robotic device 200 mayinclude one or more computing systems that include one or multipleprocessors configured to perform various functions, including processinginputs to provide outputs. The computing system may include additionalcomponents, such as various types of storage and a power source, etc.

Control system 202 of robotic device 200 may cause the robotic device200 to navigate an environment based on sensor data from the sensingsystem. The sensing system may include sensors of sensing system coupledto portions of the robotic device 200. The robotic device 200 mayreceive navigation commands by way of a communication system. Forinstance, the robotic device may receive a command to move forward at 5kilometers per hour. The command may specify to walk forward for aparticular distance, such as 100 meters. In an example, a command mayspecify one or more locations at which to place particular legs.

In some examples, the navigation commands may involve GPS coordinates.In some instances, a command may instruct the robotic device to navigateto a particular position, which may be defined by particular GPScoordinates. The robotic device may then cause the locomotion system tomove to the position while navigating physical features of the terrainidentified by the control system (perhaps based on data from perceptionsensors). Another command may instruct the robotic device to follow aparticular person, who may have with them a GPS enabled device thatgenerates data indicating the position of the person. The data may becommunicated to the robotic device that may then cause the locomotionsystem to follow the person while navigating physical features of theterrain identified by the control system.

In some example implementations, during operation, the computing systemmay communicate with other systems of the robotic device 200 via wiredor wireless connections and may further be configured to communicatewith one or multiple users of the robotic device. As one possibleillustration, the computing system may receive an input from a userindicating that the user wants the robotic device to perform aparticular gait in a given direction. The computing system may processthe input, and may cause the systems of the robotic device to performthe requested gait. Additionally, the robotic device's electricalcomponents may include other type of electrical components, includingbut not limited to interface, wires, busses, and/or other communicationlinks configured to enable systems of the robotic device to communicate.

Furthermore, the robotic device 200 may communicate with one or multipleusers and/or other robotic devices via various types of interfaces. Inan example implementation, the robotic device 200 may receive input froma user via a joystick or similar type of interface. The computing systemmay be configured to receive data indicative of the amount of force, theduration of force applied to the joystick, and other possibleinformation, from a joystick interface. Similarly, the robotic device200 may receive inputs and communicate with a user via other types ofinterface, such as a mobile device or a microphone. Regardless, thecomputing system of the robotic device 200 may be configured to processthe various types of inputs that the robotic device 200 may receive.

FIG. 3 illustrates another example quadruped robot, according to anexample implementation. Similarly to robotic device 200 shown in FIG. 2,the robotic device 300 may correspond to the robotic system 100 shown inFIG. 1. The robotic device 300 serves as another possible implementationof a robotic device that may be configured to estimate the roboticdevice's orientation, yaw, pitch, and/or roll. Other exampleimplementations of robotic devices may exist.

FIG. 4 illustrates an example of a biped robot according to anotherexample implementation. Similarly to the robotic device 400 shown inFIG. 2, the robotic device 400 may correspond to the robotic system 100shown in FIG. 1. The robotic device 400 serves as a possibleimplementation of a robotic device that may be configured to estimatethe robotic device's orientation, yaw, pitch, and/or roll. Other exampleimplementations of robotic devices may exist.

The robotic device 400 may include a number of articulated appendages,such as robotic legs and/or robotic arms. Each articulated appendage mayinclude a number of members connected by joints that allow thearticulated appendage to move through certain degrees of freedom. Eachmember of an articulated appendage may have properties describingaspects of the member, such as its weight, weight distribution, length,and/or shape, among other properties. Similarly, each joint connectingthe members of an articulated appendage may have known properties, suchas the degrees of its range of motion the joint allows, the size of thejoint, and the distance between members connected by the joint, amongother properties. A given joint may be a joint allowing one degree offreedom (e.g. a knuckle joint or a hinge joint), a joint allowing twodegrees of freedom (e.g. a cylindrical joint), a joint allowing threedegrees of freedom (e.g. a ball and socket joint), or a joint allowingfour or more degrees of freedom. A degree of freedom may refer to theability of a member connected to a joint to move about a particulartranslational or rotational axis.

The robotic device 400 may also include sensors to measure the angles ofthe joints of its articulated appendages. In addition, the articulatedappendages may include a number of actuators that can be controlled toextend and retract members of the articulated appendages. In some cases,the angle of a joint may be determined based on the extent of protrusionor retraction of a given actuator. In some instances, the joint anglesmay be inferred from position data of inertial measurement units (IMUs)mounted on the members of an articulated appendage. In someimplementations, the joint angles may be measured using rotary positionsensors, such as rotary encoders. In other implementations, the jointangles may be measured using optical reflection techniques. Other jointangle measurement techniques may also be used.

The robotic device 400 may be configured to send sensor data from thearticulated appendages to a device coupled to the robotic device 400such as a processing system, a computing system, or a control system.The robotic device 400 may include a memory, either included in a deviceon the robotic device 400 or as a standalone component, on which sensordata is stored. In some implementations, the sensor data is retained inthe memory for a certain amount of time. In some cases, the storedsensor data may be processed or otherwise transformed for use by acontrol system on the robotic device 400. In some cases, the roboticdevice 400 may also transmit the sensor data over a wired or wirelessconnection to an external device.

III. EXAMPLE SCENARIOS

FIGS. 5A and 5C illustrate stances of an example biped robot. The bipedrobot shown in FIGS. 5A and 5C may the same as or similar the roboticdevice 400 depicted in FIG. 4, the robotic device 300 depicted in FIG.3, or the robotic device 200 depicted in FIG. 2. FIGS. 5B and 5D depictsimplified representations of the biped robot in FIGS. 5A and 5C,respectively. The simplified representations shown in FIGS. 5B and 5Dare rigid body estimations of the biped robot's aggregate orientationfrom FIGS. 5A and 5C, respectively. The biped robot depicted in FIGS. 5Aand 5C and the simplified representations of the biped robot depicted inFIGS. 5B and 5D are shown for illustrative purposes and may notnecessarily be drawn to scale. Similarly, the specific angles andlocations depicted in FIGS. 5B and 5D are not drawn to scale and do notnecessarily represent accurate representations of the biped robot'saggregate orientation.

FIGS. 5A and 5C illustrate axes representing the direction of the x-,y-, and z-axes. The axes designated as such for the purposes ofexplanation, and may be represented differently in variousimplementations. The circle with the dot in its center represents thex-axis pointing out of the front of the illustrations. FIGS. 5B and 5Dillustrate a three-dimensional representations of axes that also haveparticular designations for the x-, y-, and z-axes. The axes in FIGS. 5Band 5D may be designated in other ways in various implementations.

FIGS. 5A, 5B, 5C, and 5D include arrows depicting an amount of yawrotation, pitch rotation, and roll rotation. The rotation amounts may berepresented as degrees or radians. In FIGS. 5A and 5C, these arrowsrepresent the amount of yaw rotation, pitch rotation, and roll rotationmeasured from sensors coupled to the base (i.e. the main body) of thebiped robot (i.e. orientation of the base of the biped robot). In FIGS.5B and 5D, the yaw, pitch, and roll arrows represent the aggregateamount of yaw rotation, pitch rotation, and roll rotation estimated by aprocessing system of the biped robot based on the orientation of thebiped robot's base and the angles of the biped robot's joints.

The arrows depicted in FIGS. 5A and 5C do not necessarily imply thatthere is an amount of yaw rotation, pitch rotation, or roll rotation.For example, the amount of roll rotation of the biped robot in FIG. 5Amay be zero degrees. The arrows are depicted for explanatory purposes,and the amount of yaw, pitch, and roll rotation may be specified withinparticular sections of this application.

Although the biped robot in FIGS. 5A and 5C are depicted with fourrobotic limbs (two articulated legs and two articulated arms), theaggregate orientation and/or angular velocity of any other roboticdevice having any number of limbs may be estimated in accordance withoperations of the present application. For example, the aggregateorientation and/or angular velocity may be determined for robotic device200 illustrated in FIG. 2 and for the robotic device 300 illustrated inFIG. 3, among other robotic devices.

FIG. 5A illustrates a stance 500 of a biped robot 502, according to anexample implementation. The biped robot 502 is standing on surface 504with one leg. The biped robot 502 may be similar to robotic device 400shown in FIG. 4, and may also include one or more components of roboticdevice 100 in FIG. 1. The body of the biped robot 502 is depicted asbeing parallel with surface 504, such that sensors coupled to the bodyof the biped robot 502 might indicate the roll angle of the body to bezero.

The limbs of the biped robot 502 are extended such that a torque isapplied to the biped robot 502. Although the biped robot 502 is depictedas being upright, the biped robot 502 depicted in FIG. 5A would fall tothe right if no balance control was applied to move the limbs. Despitethe biped robot 502 being in an unstable stance, a control system thatreceives information from sensors coupled to the body of the biped robot502 may determine that no control is required to maintain the bipedrobot's balance. In some cases, a control system may react to angularvelocity sensed after the biped robot begins to fall; however, reactingto changes in angular velocity may result in the control systemproviding drastic control measures to maintain the biped robot'sbalance. Thus, controlling the biped robot on the basis of changes toangular velocity is reactive, and may cause a control system to providean otherwise unnecessary amount of control effort.

The biped robot 502 may include a processing system thereon that isconfigured to estimate an aggregate orientation of the biped robot 502.The processing system may also calculate the rate of change of theaggregate orientation of the biped robot 502 to determine the angularvelocity and/or the angular momentum of the biped robot 502. In someimplementations, the processing system estimates the aggregateorientation of the biped robot 502 based on the angles of the joints ofthe biped robot's limbs and the measured orientation of the body of thebiped robot 502. The aggregate orientation, angular velocity, and/orangular momentum of the biped robot 502 may be provided as inputs to acontrol system coupled to the biped robot. The control system may beconfigured to operate the biped robot with a particular behavior (i.e.stationary balancing, walking, running, etc.).

The processing system may include a memory that stores a relationshipbetween the joint angles of the robotic device and the extent to whichthe joint angles of the robotic device affect the orientation and/orangular velocity of the base of the robotic device. Each limb of thebiped robot 502 includes members and joints, allowing the limbs to bepositioned in a variety of ways. As previously described, thepositioning of the limbs may be achieved through actuation of actuatorscoupled to members of the limbs of the biped robot 502. As a given limbmoves through its range of motion, the limb's center of mass may bepositioned at a variety of locations having varying distances from thecenter of mass of the body of the biped robot 502. The mass of a limb ofthe biped robot 502 extended away from the biped robot's body mayintroduce a torque on the body of the biped robot 502 as a result of agravitational force on the extended limb. Thus, based on the kinematicsand mass properties of the various portions of the biped robot 502, arelationship between the joint angles and the motion of the body of thebiped robot 502 may be determined. The processing system may then applythe effects of the joint angles to the measured orientation of the bodyof the biped robot 502 to determine the biped robot's aggregateorientation.

In some implementations, the processing system performs a timedifferentiation on the aggregate orientation in order to estimate thebiped robot's angular velocity. The processing system may alsodetermined an estimated angular momentum of the biped robot 502 based onthe estimated angular velocity.

In some implementations, the angular velocity and/or the angularmomentum may be used to predict the aggregate orientation of the bipedrobot 502 at a future time. Thus, a control system may proactivelyprovide balance control before the body of the biped robot 502 is movingat a significant angular velocity. By anticipating the aggregateorientation of the biped robot 502 before the biped robot 502 rotates tothat orientation, unstable orientations may be preemptively identified,greatly reducing the extent of control effort required to balance thebiped robot 502 compared to a reactive control system.

As an example, a quadruped robot such as robotic device 200 in FIG. 2 orrobotic device 300 in FIG. 3 may be travelling at a great enoughvelocity that no legs are in contact with the ground at certain times.In these cases, predicting the aggregate orientation of the quadrupedrobot while in the quadruped robot is in mid-air may be useful indetermining how to orient the front legs of the quadruped robot beforemaking contact with the ground.

In some instances, a robotic device may include a flexible membercoupled to the body of the robotic device that allows the body to bendand/or rotate. Sensors may measure the angle of the rotating sections ofthe flexible member and provide the angle measurements as input to theprocessing system. The processing system may consider those anglemeasurements, along with other angle measurements and a measurement ofthe orientation of a portion of the body in determining the aggregateorientation of the robotic device.

The body of the biped robot 502 depicted in FIG. 5A has a yaw angle ofzero degrees, a pitch angle of zero degrees, and a roll angle of zerodegrees. However, the limbs of the biped robot 502 are oriented suchthat the biped robot is unstable. Thus, as time progresses, the bipedrobot 502 would tip over if no balance control was provided to thelimbs.

FIG. 5B illustrates a simplified representation 510 of biped robot 502shown in FIG. 5A. The processing system of biped robot 502 may receivethe zero degree measurements of the yaw, pitch, and roll angles, alongwith the angles of the joints of the biped robot 502. The processingsystem may then determine the aggregate orientation of the biped robot502. Although the yaw, pitch, and roll angles of the body of the bipedrobot 502 were zero degrees, the aggregate orientation of the bipedrobot 502 may have non-zero values.

In FIG. 5B, the simplified representation 512 of the biped robot 502 hasnon-zero yaw, pitch, and roll angles. The simplified representation 512of the biped robot 502 is oriented with respect to a reference frame510, which may be a surface or the ground. In some implementations, atleast one of the non-zero yaw, pitch, and roll angles may indicateinstability in the balance of the biped robot 502. For instance, anon-zero roll angle may, in some cases, be indicative of a torqueapplied to the body of the biped robot 502 resulting from one or morelimbs being extended to one side of the biped robot 502. Thus, despitethe body of the biped robot 502 being parallel with the surface 504, theaggregate orientation indicates instability that would increase theangular velocity of the biped robot 502 over time.

The estimated aggregate orientation may be provided to a control systemof the biped robot 502, which may subsequently control at least one ofthe limbs of the biped robot 502 to balance the biped robot 502. Forinstance, the lifted leg of the biped robot 502 in FIG. 5A may be placedon the ground, thereby changing the angle of one or more joints of thelifted leg. As the joint angles in leg change to indicate that the legis extended to make contact with the surface 504, the aggregateorientation estimated by the processing system may indicate that thebiped robot 502 is becoming more stable. For instance, the changingjoint angles caused by extending the leg to touch the surface 504 maydecrease the aggregate roll angle.

In some cases, the control system of the biped robot 502 is configuredto maintain the translational velocity of the biped robot 502 atparticular pace (e.g. walking pace or a running pace).

In an example implementation, a robotic device may have a relationshipthat correlates the positions of its joint angles with the aggregateorientation of the robotic device. The robotic device may have two legsand one arm, where the one arm has one joint connecting a memberattached to the robotic device's body to another member. Therelationship may dictate that, when the joint has an angle that isbetween 0 and 90 degrees, the arm does not introduce enough torque tocause the robot to tip over. The relationship may also dictate that,when the joint has an angle between 90 and 180 degrees, the arm producesenough torque on the robotic device's body, causing the robotic deviceto angularly accelerate and eventually tip over. Any combination ofjoint angle ranges may be correlated to a torque produced on the body ofthe robotic device in various implementations.

In some cases, a robotic device may be running and thus does not haveany contact with the ground at certain points in time. The roboticdevice's body may oscillate while running, such that a control deviceconsidering only the orientation measurement of the robotic device'sbody may, at certain points in time, determine that the robotic deviceis unstable and thus requires a control effort to maintain balance.However, a relationship between the joint angles of the legs of therobotic device and the orientation of the body of the robotic device mayindicate that the aggregate orientation of the robotic device has a farless severe oscillation compared to the body orientation of the roboticdevice. In these cases, a control system of the present disclosurereduces unnecessary control effort that may otherwise have been exerted.

FIG. 5C illustrates a stance 520 of a biped robot 522, according to anexample implementation. Similarly to biped robot 502, biped robot 522 isstanding on surface 524 with one leg. However, the body of the bipedrobot 522 is depicted as being tilted, such that sensors coupled to thebody of the biped robot 522 might indicate the roll angle of the body tobe non-zero. The biped robot 522 may be the same as or similar torobotic device 400 shown in FIG. 4, and may also include one or morecomponents of robotic device 100 in FIG. 1.

The limbs of biped robot 522 are extended such that the biped robot 522is balanced. Unlike the biped robot 502 in FIG. 5A, the biped robot 522is stable and does not require control of the limbs to maintain balance.The limbs of the biped robot 522 are extended in such a way that notorque is applied on the body of the biped robot 522.

Similarly to the biped robot 502, the biped robot 522 may include aprocessing system thereon that is configured to estimate an aggregateorientation of the biped robot 522. The processing system may receivethe angles of the joints of the biped robot 522 and the measuredorientation of the body to determine the biped robot's aggregateorientation. In the example stance 520 depicted in FIG. 5C, although thebody orientation is indicative of an unstable stance requiring controlto maintain balance of the biped robot 522, the processing systemdetermines from the aggregate orientation that the biped robot 522 isstable. The processing system may also perform a time differentiation ofthe aggregate orientation and determine that the angular velocity of thebiped robot 522 is not changing.

The body of the biped robot 522 in FIG. 5C has a yaw angle of zerodegrees, a pitch angle of zero degrees, and a non-zero roll angle.However, the aggregate orientation of the biped robot—which is depictedin the simplified representation of the biped robot 522 in FIG. 5D—maybe determined to have a roll angle of zero.

FIG. 5D illustrates a simplified representation 532 of a biped robot522, according to an example implementation. The simplifiedrepresentation 532 of the biped robot 502 is oriented with respect to areference frame 530, which may be a surface or the ground. Theprocessing system of the biped robot 522 may receive measurements of theorientation of the body of the biped robot 522 indicating zero-degreeyaw and pitch angles and a non-zero roll angle. The processing system ofthe biped robot 522 may also receive measurements of the angles of thejoints of the biped robot 522. Then, the processing system may estimatethe aggregate orientation of the biped robot 522 in the same or similarmanner as previously described. Although the received roll angle of thebiped robot's body is non-zero, the aggregate orientation of the bipedrobot 522 indicates that the biped robot 522 has a zero degree rollangle.

The estimated aggregate orientation may be provided to a control systemof the biped robot 522. The control system may determine that the bipedrobot 522 is stable and does not require control to maintain balance ofthe biped robot 522.

In some instances, the aggregate orientation may indicate that theaggregate roll angle of the biped robot 522 is a very small non-zeroamount. As a result, the processing system may predict that theaggregate orientation of the biped robot 522 is accelerating about theroll axis. In these instances, the control system may control the limbsof the biped robot 522 to maintain balance of the biped robot 522. Insome implementations, the control system may vary the force applied tothe ground by the leg of the biped robot 522 in order to maintainbalance.

In some instances, the processing system determines a path thatindicates an expected trajectory of the robot based on the estimatedaggregate orientation, among other measurements (e.g. the velocity anddirection of the velocity of the robotic device). This may involvecomputing the expected locations of the robotic device based on itsestimated aggregate orientation for a threshold amount of time. Forexample, the determined path may indicate the expected trajectory for aone minute period of time in the future.

The processing system may also determine whether an object is presentwithin the determined path. This may involve the processing systemreceiving images from an image-capture system coupled to the roboticdevice and performing object detection techniques to identify anypossible objects. In some cases, an object may be detected if it isabove a certain threshold size.

When an object is detected along the expected path, the processingsystem may modify or otherwise alter the path of the robot so that itstrajectory avoids a collision with the object. The processing system mayaccomplish this by providing instructions to change the orientationand/or velocity (in the x-direction, y-direction, and/or z-direction) ofthe robotic device. In some cases, the processing system may calculatethe expected trajectory of the robotic device to ensure that the roboticdevice avoids colliding with the detected object.

In some cases, when an object is detected along the expected path, theprocessing system may provide instructions to the robotic device to stopthe robotic device from hitting the object.

In some implementations, the processing system may receive a desiredtrajectory for the robotic device to travel along. The processing systemmay then, based on the desired trajectory and the estimated aggregateorientation of the robotic device, determine a manner in which tooperate the robotic device that causes it to travel along this desiredtrajectory. This may include providing instructions to modify therobotic device's orientation and/or velocity (in the x-direction,y-direction, and/or the z-direction).

IV. EXAMPLE METHODS

FIG. 6 is a flowchart 600, according to an example implementation. Theoperations in the flowchart could, for example, be performed by therobotic device 100 in FIG. 1, the robotic device 200 in FIG. 2, therobotic device 300 in FIG. 3, the robotic device 400 in FIG. 4, or anycombination of components from robotic device 100, robotic device 200,robotic device 300, and/or robotic device 400. FIG. 6 may include one ormore operations, or procedures as illustrated by one or more of blocks602, 604, 606, 608, and 610. Although the blocks are illustrated in asequential order, these blocks may in some instances be performed inparallel, and/or in a different order than those described herein. Also,the various blocks may be combined into fewer blocks, divided intoadditional blocks, and/or removed based upon the desired implementation.

In addition, for FIG. 6 and other procedures and operations describedherein, the flowchart shows the functionality and operation of onepossible implementation of present implementations. In this regard, eachblock may represent a module, a segment, or a portion of program code,which includes one or more instructions executable by a processor forimplementing specific logical operations or steps in this process. Inaddition, each block may represent a portion of program code thatperforms and/or modifies an operation of a robotic device. The programcode may be stored on any type of computer-readable medium, for example,such as a storage device including a disk or hard drive. Thecomputer-readable medium may include a non-transitory computer-readablemedium, for example, such as computer-readable media that stores datafor short periods of time like register memory, processor cache andrandom access memory (RAM). The computer-readable medium may alsoinclude other non-transitory media, such as secondary or persistent longterm storage, like read only memory (ROM), optical or magnetic disks,compact-disc read only memory (CD-ROM), for example. Thecomputer-readable media may also be any other volatile or non-volatilestorage system. The computer-readable medium may be considered acomputer-readable storage medium, a tangible storage device, or otherarticle of manufacture, for example. The program code (or data for thecode) may also be stored or provided on other media includingcommunication media. For instance, the commands may be received on awireless communication media.

Further, for FIG. 6 and other procedures and operations describedherein, each block may represent circuitry that is arranged to performthe specific logical operations.

Operations of FIG. 6 may be fully performed by a control device or bythe processor, or may be distributed across multiple control devices. Insome examples, the control device may receive information from sensorsof a robotic device, or the control device may receive the informationfrom a processor that collects the information. The control system mightfurther communicate with a remote control system (e.g., a control deviceon another robotic device) to receive information from sensors of otherdevices, for example. For the purposes of explanation, the operations ofblocks 602, 604, 606, 608, and 610 are described as being performed by acontrol device; however, other devices as described above may carry outthe operations.

At block 602, a processing system receives a first plurality ofmeasurements indicative of respective joint angles corresponding to aplurality of sensors connected to a robot. In some cases, the jointangle measurements received may be analog electrical signalsrepresenting the joint angles. In some implementations, the sensorsinclude circuitry to convert the analog electrical signals to digitalelectrical signals representing the joint angles. In some cases, a givensensor may detect relative changes in the joint angle, and theprocessing system may keep track of the position of the joints bymeasuring the changes in the joint angle over time. The joint angles maybe represented in degrees or in radians, depending on the particularimplementation. The sensors may transmit the joint angles to theprocessing system via a wired connection or a wireless connection.

At block 604, the processing system receives an orientation measurementindicative of an orientation of the body of the robot. The orientationof the body of the robotic device may be measured by one or moresensors, such as accelerometers, gyroscopes, magnetometers, and/orinertial measurement units (IMUs), among other sensors. The sensors maymeasure acceleration of the body of the robotic device and/or rotationalangles such as pitch, roll, and yaw of the body of the robot. Thesensors may provide the acceleration and/or rotational angles to theprocessing system, and the processing system may determine at least oneof the velocity, position, orientation, and the angular velocity of thebody of the robot. In some implementations, the sensors may includethereon circuitry to determine at least one of the velocity, position,orientation and/or angular velocity of the body of the robot, and maythen provide those measurements to the processing system.

The body of the robotic device may be any portion of the robotic deviceto which robotic limbs are connected. In some implementations, therobotic limbs are connected to the body of the robotic device throughrotatable joints.

At block 606, the processing system determines a relationship betweenthe first plurality of measurements and the orientation measurementbased on the properties associated with the jointed limbs of the robot.The relationship may be the same as or similar to relationshipspreviously described. The relationship may be stored on a memory coupledto the robot. The robotic device may include a computing device that isconfigured to execute program instructions stored on the memory. In someimplementations, the relationship may be integrated into the programinstructions.

The relationship may be a mathematical formula or algorithm that can beused to determine the robot's aggregate orientation from the orientationmeasurement and joint angle measurements. The processing system and/orcomputing device of the robotic device may perform the calculation ofthe mathematical formula or execute the algorithm in order to determinethe robot's aggregate orientation. In some instances, this relationshipmay be integrated as a part of a control system implemented on a controldevice, such as a field-programmable gate array (FPGA).

In some implementations the relationship may be updated or otherwisemodified. In some cases, instructions to update or modify therelationship may be received at a communication link of the robot. Aspreviously described, multiple relationships may be used to determinethe aggregate orientation of the robot, and the robotic device mayreceive instructions to add, remove, update, or modify one or more theserelationships.

At block 608, the processing system estimates an orientation of therobotic device based on the first plurality of measurements, theorientation measurement, and the determined relationship. The estimatedorientation of the robotic device may be the same as or similar to theaggregate orientation of the robotic device as previously described. Theestimated orientation may be determined by performing mathematical oralgorithmic operations on the first plurality of measurements and theorientation measurements in accordance with the received relationship.

The estimated orientation may be stored on a memory of the robot. Insome implementations, the estimated orientation is transmitted to anexternal computing device either over a wired connection or a wirelessconnection. Further, in some instances, the estimated orientation may beprovided to other devices or systems of the robot, such as a controlsystem.

At block 610, the processing system provides instructions to control atleast one jointed limb of the robotic device based on the estimatedorientation of the robot. The instructions may correspond to maneuveringone or more of the limbs of the robot. For example, an instruction maycause a limb of the robotic device to move to a specific location andhave a specific orientation. An instruction may also specify the mannerin which to move the limb (e.g. how quickly the move the limb to thespecific location). An instruction may further specify the amount offorce that a particular limb applied to the ground or other surface.

In some implementations, the instructions are analog signals thatcontrol actuators on the limbs of the robot. In some cases, theactuators may be configured to receive digital signals, and theinstructions may be digital signals provided to one or more actuators tocontrol the limbs of the robot.

V. EXAMPLE COMPUTER-READABLE MEDIUM

FIG. 7 illustrates an example computer-readable medium configuredaccording to at least some implementation described herein. In exampleimplementations, the example system can include one or more processors,one or more forms of memory, one or more input devices/interfaces, oneor more output devices/interfaces, and machine readable instructionsthat when executed by the one or more processors cause a robotic deviceto carry out the various functions tasks, capabilities, etc., describedabove.

As noted above, the disclosed procedures can be implemented by computerprogram instructions encoded on a computer-readable storage medium in amachine-readable format, or on other media or articles of manufacture.FIG. 7 is a schematic illustrating a conceptual partial view of acomputer program product that includes a computer program for executinga computer process on a computing device, arranged according to at leastsome implementations disclosed herein.

In an implementation, the example computer program product 700 isprovided using a signal bearing medium 702. The signal bearing medium702 may include one or more program instructions 704 that, when executedby one or more processors may provide functionality or portions of thefunctionality described above with respect to FIGS. 1-6. In someexamples, the signal bearing medium 702 can be a computer-readablemedium 706, such as, but not limited to, a hard disk drive, a CompactDisc (CD), a Digital Video Disk (DVD), a digital tape, memory, etc. Insome implementations, the signal bearing medium 702 can be a computerrecordable medium 708, such as, but not limited to, memory, read/write(R/W) CDs, R/W DVDs, etc. In some implementations, the signal bearingmedium 702 can be a communication mediums 710 (e.g., a fiber opticcable, a waveguide, a wired communications link, etc.). Thus, forexample, the signal bearing medium 702 can be conveyed by a wirelessform of the communications medium 710.

The one or more program instructions 704 can be, for example, computerexecutable and/or logic implemented instructions. In some examples, acomputing device is configured to provide various operations, functions,or actions in response to the program instructions 704 conveyed to thecomputing device by the computer readable medium 706, the computerrecordable medium 708, and/or the communications medium 710. In otherexamples, the computing device can be an external device incommunication with a device coupled to the robotic device.

The computer readable medium 706 can also be distributed among multipledata storage elements, which could be remotely located from each other.The computing device that executes some or all of the storedinstructions could be an external computer, or a mobile computingplatform, such as a smartphone, tablet device, personal computer, or awearable device, among others. Alternatively, the computing device thatexecutes some or all of the stored instructions could be a remotelylocated computer system, such as a server. For example, the computerprogram product 700 can implement operations discussed in reference toFIG. 6.

VI. CONCLUSION

It should be understood that arrangements described herein are forpurposes of example only. As such, those skilled in the art willappreciate that other arrangements and other elements (e.g. machines,interfaces, functions, orders, and groupings of functions, etc.) can beused instead, and some elements may be omitted altogether according tothe desired results. Further, many of the elements that are describedare functional entities that may be implemented as discrete ordistributed components or in conjunction with other components, in anysuitable combination and location, or other structural elementsdescribed as independent structures may be combined.

While various aspects and implementations have been disclosed herein,other aspects and implementations will be apparent to those skilled inthe art. The various aspects and implementations disclosed herein arefor purposes of illustration and are not intended to be limiting, withthe true scope being indicated by the following claims, along with thefull scope of equivalents to which such claims are entitled. It is alsoto be understood that the terminology used herein is for the purpose ofdescribing particular implementations only, and is not intended to belimiting.

What is claimed is:
 1. A method comprising: receiving, by a robot, afirst plurality of measurements indicative of respective joint anglescorresponding to a plurality of sensors connected to the robot, whereinthe robot comprises a body and a plurality of jointed limbs connected tothe body, and wherein the jointed limbs are associated with respectiveproperties; receiving a body orientation measurement indicative of anorientation of the body of the robot; determining a relationship betweenthe first plurality of measurements and the body orientation measurementbased on the properties associated with the jointed limbs of the robot;estimating an aggregate orientation of the robot based on the firstplurality of measurements, the body orientation measurement, and thedetermined relationship; and based on the estimated aggregateorientation of the robot, providing instructions to control at least onejointed limb of the robot.
 2. The method of claim 1, wherein thedetermined relationship is a first relationship, and wherein the methodfurther comprises: determining a particular mode of operation of therobot corresponding to one or more of the first plurality ofmeasurements being within one or more respective operating ranges; anddetermining a second relationship between the first plurality ofmeasurements and the body orientation measurement associated with theparticular mode of operation based on (i) the respective propertiesassociated with the jointed limbs of the robot and (ii) the determinedparticular mode of operation of the robot.
 3. The method of claim 2,wherein estimating the orientation of the robot comprises: based ondetermining that the robot is operating in the particular mode ofoperation, estimating the orientation of the robot based on the firstplurality of measurements, the body orientation measurement, and thesecond relationship.
 4. The method of claim 1, wherein providinginstructions to control at least one jointed limb of the robotcomprises: based on the estimated aggregate orientation, determining anextent of force in which to place a particular jointed limb of the roboton a surface in order to maintain a balance of the robot; and providinginstructions to place the particular jointed limb of the robot on thesurface using the determined extent of force.
 5. The method of claim 1,wherein providing instructions to control at least one jointed limb ofthe robot comprises: based on the estimated aggregate orientation,determining a location in which to move a particular jointed limb of therobot in order to maintain a balance of the robot; and providinginstructions to move the particular jointed limb of the robot to thedetermined location.
 6. The method of claim 1, further comprising:providing the estimated aggregate orientation of the robot to a controlsystem, wherein the control system is configured to maintain a balanceof the robot.
 7. The method of claim 1, further comprising: determininga path indicative of an expected trajectory of the robot based on theestimated aggregate orientation; determining that an object is presentwithin the determined path; and based on determining that the object ispresent within the determined path, providing instructions to control atleast one limb of the robot to avoid colliding with the object.
 8. Themethod of claim 1, further comprising: estimating an angular velocity ofthe robot based on the estimated aggregate orientation of the robot,wherein the instructions to control the at least one jointed limb of therobot is further based on the determined estimated angular velocity. 9.The method of claim 8, wherein the provided instructions are firstinstructions, and wherein the method further comprises: receiving asecond plurality of measurements indicative of external forces exertedon the robot; based on the received second plurality of measurements andthe estimated angular velocity of the robot, determining a component ofthe estimated angular velocity caused by the external forces exerted onthe robot; and providing second instructions to control at least onejointed limb of the robot based on the determined component of theestimated angular velocity caused by the external forces exerted on therobot.
 10. The method of claim 1, wherein the provided instructions arefirst instructions, and wherein the method further comprises: providinga path indicative of a desired trajectory of the robot; and based on theprovided path and the estimated aggregate orientation of the robot,providing second instructions to control at least one jointed limb ofthe robot to maneuver the robot to travel along the provided path. 11.The method of claim 1, wherein the provided instructions are firstinstructions, and wherein the method further comprises: determiningwhether a stance of the robot is stable based on the estimated aggregateorientation; and based on determining that the stance of the robot isnot stable, providing second instructions to control at least onejointed limb of the robot to adjust the stance of the robot.
 12. Themethod of claim 1, wherein the provided instructions are firstinstructions, and wherein the method further comprises: receiving asecond plurality of measurements indicative of external forces exertedon the robot; determining an estimated angular velocity of the robotbased on the estimated aggregate orientation and of the robot;determining a component of the estimated angular velocity caused bymovements of the jointed limbs of the robot; and providing secondinstructions to control at least one jointed limb of the robot based onthe determined component of the estimated angular velocity caused bymovements of the jointed limbs of the robot.
 13. The method of claim 1,further comprising: determining whether an object is in front of therobot; and providing instructions to stop the robot responsive todetermining that the object is in front of the robot.
 14. The method ofclaim 1, further comprising: determining whether an object is withinreach of a particular jointed limb of the robot; and providinginstructions to limit the angle in which the particular jointed limb canmove to avoid making contact with the object.
 15. The method of claim 1,wherein the provided instructions are first instructions, wherein therobot is in midair above a surface, and wherein the method furthercomprises: determining an angle in which to adjust a given jointed limbfrom among the plurality of jointed limbs based on the estimatedaggregate orientation in order to balance the robot when the givenjointed limb lands on the surface; and providing second instructions toadjust the given jointed limb to the determined angle.
 16. The method ofclaim 1, further comprising: receiving a second plurality ofmeasurements indicative of external forces exerted on the robot;determining a measured angular momentum of the robot based on the secondplurality of measurements, at least one of the first plurality ofmeasurements, and the body orientation measurement, wherein the measuredangular momentum includes noise having a first average amplitude;estimating an angular velocity of the robot based on the estimatedaggregate orientation of the robot determining an estimated angularmomentum based on the measured angular momentum and the estimatedangular velocity, wherein the estimated angular momentum includes noisehaving a second average amplitude, wherein the second average amplitudeis less than the first average amplitude.
 17. A robot comprising: abody; a plurality of jointed limbs connected to the body, wherein thejointed limbs are associated with respective properties; a firstplurality of sensors configured to provide a first plurality ofmeasurements indicative of respective joint angles of the jointed limbs;a second sensor configured to provide a body orientation measurementindicative of an orientation of the body of the robot, wherein thesecond sensor is coupled to the body; a processing system configured to(i) determine a relationship between the first plurality of measurementsand the body orientation measurement based on the properties associatedwith the jointed limbs and (ii) estimate an aggregate orientation of therobot based on the first plurality of measurements, the body orientationmeasurement, and the determined relationship; and a control systemconfigured to provide instructions to control at least one jointed limbof the robot based on the estimated aggregate orientation of the robot.18. The robot of claim 17, wherein the respective properties associatedwith the jointed limbs include a mass of each jointed limb and a shapeof each jointed limb, and wherein the determined relationship furtherindicates a relationship between a torque produced from moving a givenjointed limb and a torque applied to the portion of the robot.
 19. Anon-transitory computer-readable medium having stored thereoninstructions that, upon execution by at least one processor, causes arobot to perform operations comprising: receiving a first plurality ofmeasurements indicative of respective joint angles corresponding to aplurality of sensors connected to a robot, wherein the robot comprises aplurality of jointed limbs and respective properties associated with thejointed limbs; receiving a body orientation measurement indicative of anorientation of a portion of the robot; determining a relationshipbetween the first plurality of measurements and the body orientationmeasurement based on the properties associated with the jointed limbs ofthe robot; estimating an aggregate orientation of the robot based on thefirst plurality of measurements, the body orientation measurement, andthe determined relationship; and based on the estimated aggregateorientation of the robot, providing instructions to control at least onejointed limb of the robot.
 20. The non-transitory computer-readablemedium of claim 19, wherein the operations further comprise: providingthe estimated aggregate orientation of the robot to a control system,wherein the control system is configured to maintain a balance of therobot.